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KCET2023MathematicsVector Algebra

The component of i in the direction of the vector i + j +2 k is

Options

  1. A6
  2. B6 6
  3. C6 6
  4. D6

Correct answer

C. 6 6

Step-by-step solution

We know that component of a in the direction of b is | a b | | b |^2 Let b = i + j +2 k and a = i Then, we have | a b |=1 and | b |= 6 Now, the component of i in the direction i + j +2 k is 1 6 = 6 6

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